dormrz (3p)

Name

dormrz - N matrix C with Q*C or Q**H*C or C*Q**H or C*Q.

Synopsis

SUBROUTINE DORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK,
LWORK, INFO)

CHARACTER*1 SIDE, TRANS
INTEGER M, N, K, L, LDA, LDC, LWORK, INFO
DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*)

SUBROUTINE DORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,
WORK, LWORK, INFO)

CHARACTER*1 SIDE, TRANS
INTEGER*8 M, N, K, L, LDA, LDC, LWORK, INFO
DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*)




F95 INTERFACE
SUBROUTINE ORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,
WORK, LWORK, INFO)

CHARACTER(LEN=1) :: SIDE, TRANS
INTEGER :: M, N, K, L, LDA, LDC, LWORK, INFO
REAL(8), DIMENSION(:) :: TAU, WORK
REAL(8), DIMENSION(:,:) :: A, C

SUBROUTINE ORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C,
LDC, WORK, LWORK, INFO)

CHARACTER(LEN=1) :: SIDE, TRANS
INTEGER(8) :: M, N, K, L, LDA, LDC, LWORK, INFO
REAL(8), DIMENSION(:) :: TAU, WORK
REAL(8), DIMENSION(:,:) :: A, C




C INTERFACE
#include <sunperf.h>

void dormrz(char side, char trans, int m, int n, int k, int  l,  double
*a, int lda, double *tau, double *c, int ldc, int *info);

void  dormrz_64(char  side, char trans, long m, long n, long k, long l,
double *a, long lda, double *tau, double *c, long  ldc,  long
*info);

Description

Oracle Solaris Studio Performance Library                           dormrz(3P)



NAME
       dormrz  - overwrite the general real M-by-N matrix C with Q*C or Q**H*C
       or C*Q**H or C*Q.


SYNOPSIS
       SUBROUTINE DORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK,
             LWORK, INFO)

       CHARACTER*1 SIDE, TRANS
       INTEGER M, N, K, L, LDA, LDC, LWORK, INFO
       DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*)

       SUBROUTINE DORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,
             WORK, LWORK, INFO)

       CHARACTER*1 SIDE, TRANS
       INTEGER*8 M, N, K, L, LDA, LDC, LWORK, INFO
       DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*)




   F95 INTERFACE
       SUBROUTINE ORMRZ(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC,
              WORK, LWORK, INFO)

       CHARACTER(LEN=1) :: SIDE, TRANS
       INTEGER :: M, N, K, L, LDA, LDC, LWORK, INFO
       REAL(8), DIMENSION(:) :: TAU, WORK
       REAL(8), DIMENSION(:,:) :: A, C

       SUBROUTINE ORMRZ_64(SIDE, TRANS, M, N, K, L, A, LDA, TAU, C,
              LDC, WORK, LWORK, INFO)

       CHARACTER(LEN=1) :: SIDE, TRANS
       INTEGER(8) :: M, N, K, L, LDA, LDC, LWORK, INFO
       REAL(8), DIMENSION(:) :: TAU, WORK
       REAL(8), DIMENSION(:,:) :: A, C




   C INTERFACE
       #include <sunperf.h>

       void dormrz(char side, char trans, int m, int n, int k, int  l,  double
                 *a, int lda, double *tau, double *c, int ldc, int *info);

       void  dormrz_64(char  side, char trans, long m, long n, long k, long l,
                 double *a, long lda, double *tau, double *c, long  ldc,  long
                 *info);



PURPOSE
       dormrz overwrites the general real M-by-N matrix C with

                       SIDE = 'L'     SIDE = 'R'
       TRANS = 'N':      Q * C          C * Q
       TRANS = 'T':      Q**T * C       C * Q**T

       where Q is a real orthogonal matrix defined as the product of k elemen-
       tary reflectors

             Q = H(1) H(2) . . . H(k)

       as returned by DTZRZF. Q is of order M if SIDE = 'L' and of order N  if
       SIDE = 'R'.


ARGUMENTS
       SIDE (input)
                 = 'L': apply Q or Q**T from the Left;
                 = 'R': apply Q or Q**T from the Right.


       TRANS (input)
                 = 'N':  No transpose, apply Q;
                 = 'T':  Transpose, apply Q**T.


       M (input) The number of rows of the matrix C. M >= 0.


       N (input) The number of columns of the matrix C. N >= 0.


       K (input) The number of elementary reflectors whose product defines the
                 matrix Q.  If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >=  K
                 >= 0.


       L (input) The number of columns of the matrix A containing the meaning-
                 ful part of the Householder reflectors.  If SIDE = 'L', M  >=
                 L >= 0, if SIDE = 'R', N >= L >= 0.


       A (input) (LDA,M)  if  SIDE  =  'L', (LDA,N) if SIDE = 'R' The i-th row
                 must contain the vector which defines the elementary  reflec-
                 tor  H(i),  for  i  = 1,2,...,k, as returned by DTZRZF in the
                 last k rows of its array argument A.  A is  modified  by  the
                 routine but restored on exit.


       LDA (input)
                 The leading dimension of the array A. LDA >= max(1,K).


       TAU (input)
                 TAU(i)  must  contain  the  scalar  factor  of the elementary
                 reflector H(i), as returned by DTZRZF.


       C (input/output)
                 On entry, the M-by-N matrix C.  On exit, C is overwritten  by
                 Q*C or Q**H*C or C*Q**H or C*Q.


       LDC (input)
                 The leading dimension of the array C. LDC >= max(1,M).


       WORK (workspace)
                 On exit, if INFO = 0, WORK(1) returns the optimal LWORK.


       LWORK (input)
                 The  dimension  of  the  array WORK.  If SIDE = 'L', LWORK >=
                 max(1,N); if SIDE = 'R', LWORK >= max(1,M).  For optimum per-
                 formance  LWORK  >=  N*NB if SIDE = 'L', and LWORK >= M*NB if
                 SIDE = 'R', where NB is the optimal blocksize.

                 If LWORK = -1, then a workspace query is assumed; the routine
                 only  calculates  the optimal size of the WORK array, returns
                 this value as the first entry of the WORK array, and no error
                 message related to LWORK is issued by XERBLA.


       INFO (output)
                 = 0:  successful exit
                 < 0:  if INFO = -i, the i-th argument had an illegal value

FURTHER DETAILS
       Based on contributions by
         A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA




                                  7 Nov 2015                        dormrz(3P)